Q: What are the prime factors of the number 833,155,520?

 A: 2, 5, 59, 44129

Why are those the prime factors of the number 833,155,520?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 833,155,520

833,155,520
Factor Arrows
2416,577,760
Factor Arrows
2208,288,880
Factor Arrows
2104,144,440
Factor Arrows
252,072,220
Factor Arrows
226,036,110
Factor Arrows
213,018,055
Factor Arrows
52,603,611
Factor Arrows
5944,129

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 59, 44129

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 59 x 44,129 = 833,155,520

This can also be written as 26 x 51 x 591 x 44,1291 = 833,155,520

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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